This forum has become my best friend over the past week. Ive been stuck on a couple problems, posted them here, and had some great advice. So,thanks all.

Anyways, I am stuck again. Mesh and nodal. I really just want a check. My solutions vary slightly form the given solutions and I was curious if I had made a small mistake in my equations/calculations. Maybe someone can see it?

Problem 1--

I tried a loop method to try and solve this. I started with the bottom right loop (loop1), then the top right (loop2). My assumptions are that V1=12V because it is the first node that the 12V source sees. Also, that V2=6V, because it is the fist node that the 6V source sees.

Equations I built:

loop1: 0.002-V3(2K)-V4(1K)=0

---> 0.002-2000V3-1000V4=0

loop2: V3-12V-V1(1K)-V4(2K)=0

---> V3-12V-12000-2000V4=0

----> V3-2000V4-11988=0

I crunched the system with my Casio and ended up with V3= - 2.99V and V4= 5.99V.

As you can see, my solutions are "correct" (I reckon), with the exception of V3, as it is off from the given - 2.76V.

I tried several other ways, and typically end up with ~3V and ~6V. SO, either Prof. has made an error again, or I have.

Thanks!